3845864960 has 480 divisors, whose sum is σ = 11822671872. Its totient is φ = 1192181760.

The previous prime is 3845864851. The next prime is 3845864969. The reversal of 3845864960 is 694685483.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3845864969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89438699 + ... + 89438741.

Almost surely, 2^3845864960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3845864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5911335936).

3845864960 is an abundant number, since it is smaller than the sum of its proper divisors (7976806912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3845864960 is a wasteful number, since it uses less digits than its factorization.

3845864960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 53.

The square root of 3845864960 is about 62015.0381762359. The cubic root of 3845864960 is about 1566.7438919732.

The spelling of 3845864960 in words is "three billion, eight hundred forty-five million, eight hundred sixty-four thousand, nine hundred sixty".